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Finding the Third Proportional to 127,187.72 and 186,988.50

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Solution

The third proportional to 127,187.72 and 186,988.50 is: 274,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,187.72 : 186,988.50 = 186,988.50 : x
  2. Step 2: Convert to fraction form
    127,187.72/186,988.50 = 186,988.50/x
  3. Step 3: Cross multiply
    127,187.72x = 186,988.50 × 186,988.50
  4. Step 4: Simplify right side
    127,187.72x = 34,964,699,132.25
  5. Step 5: Solve for x
    x = 34,964,699,132.25/127,187.72
  6. Step 6: Final answer
    x = 274,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.