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Finding the Third Proportional to 53,663.77 and 78,854.77

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Solution

The third proportional to 53,663.77 and 78,854.77 is: 115,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,663.77 : 78,854.77 = 78,854.77 : x
  2. Step 2: Convert to fraction form
    53,663.77/78,854.77 = 78,854.77/x
  3. Step 3: Cross multiply
    53,663.77x = 78,854.77 × 78,854.77
  4. Step 4: Simplify right side
    53,663.77x = 6,218,074,061.77
  5. Step 5: Solve for x
    x = 6,218,074,061.77/53,663.77
  6. Step 6: Final answer
    x = 115,871.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.