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Finding the Third Proportional to 138,010.69 and 207,707.06

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Solution

The third proportional to 138,010.69 and 207,707.06 is: 312,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,010.69 : 207,707.06 = 207,707.06 : x
  2. Step 2: Convert to fraction form
    138,010.69/207,707.06 = 207,707.06/x
  3. Step 3: Cross multiply
    138,010.69x = 207,707.06 × 207,707.06
  4. Step 4: Simplify right side
    138,010.69x = 43,142,223,812.38
  5. Step 5: Solve for x
    x = 43,142,223,812.38/138,010.69
  6. Step 6: Final answer
    x = 312,600.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.