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Finding the Third Proportional to 53,925.19 and 83,412.56

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Solution

The third proportional to 53,925.19 and 83,412.56 is: 129,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,925.19 : 83,412.56 = 83,412.56 : x
  2. Step 2: Convert to fraction form
    53,925.19/83,412.56 = 83,412.56/x
  3. Step 3: Cross multiply
    53,925.19x = 83,412.56 × 83,412.56
  4. Step 4: Simplify right side
    53,925.19x = 6,957,655,582.82
  5. Step 5: Solve for x
    x = 6,957,655,582.82/53,925.19
  6. Step 6: Final answer
    x = 129,024.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.