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Finding the Third Proportional to 127,343.25 and 186,502.50

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Solution

The third proportional to 127,343.25 and 186,502.50 is: 273,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,343.25 : 186,502.50 = 186,502.50 : x
  2. Step 2: Convert to fraction form
    127,343.25/186,502.50 = 186,502.50/x
  3. Step 3: Cross multiply
    127,343.25x = 186,502.50 × 186,502.50
  4. Step 4: Simplify right side
    127,343.25x = 34,783,182,506.25
  5. Step 5: Solve for x
    x = 34,783,182,506.25/127,343.25
  6. Step 6: Final answer
    x = 273,145.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.