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Finding the Third Proportional to 127,495.50 and 199,582.50

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Solution

The third proportional to 127,495.50 and 199,582.50 is: 312,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,495.50 : 199,582.50 = 199,582.50 : x
  2. Step 2: Convert to fraction form
    127,495.50/199,582.50 = 199,582.50/x
  3. Step 3: Cross multiply
    127,495.50x = 199,582.50 × 199,582.50
  4. Step 4: Simplify right side
    127,495.50x = 39,833,174,306.25
  5. Step 5: Solve for x
    x = 39,833,174,306.25/127,495.50
  6. Step 6: Final answer
    x = 312,428.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.