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Finding the Third Proportional to 62,623.13 and 97,782.19

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Solution

The third proportional to 62,623.13 and 97,782.19 is: 152,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,623.13 : 97,782.19 = 97,782.19 : x
  2. Step 2: Convert to fraction form
    62,623.13/97,782.19 = 97,782.19/x
  3. Step 3: Cross multiply
    62,623.13x = 97,782.19 × 97,782.19
  4. Step 4: Simplify right side
    62,623.13x = 9,561,356,192.29
  5. Step 5: Solve for x
    x = 9,561,356,192.29/62,623.13
  6. Step 6: Final answer
    x = 152,680.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.