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Finding the Third Proportional to 62,707 and 133,918.50

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Solution

The third proportional to 62,707 and 133,918.50 is: 285,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,707 : 133,918.50 = 133,918.50 : x
  2. Step 2: Convert to fraction form
    62,707/133,918.50 = 133,918.50/x
  3. Step 3: Cross multiply
    62,707x = 133,918.50 × 133,918.50
  4. Step 4: Simplify right side
    62,707x = 17,934,164,642.25
  5. Step 5: Solve for x
    x = 17,934,164,642.25/62,707
  6. Step 6: Final answer
    x = 285,999.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.