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Finding the Third Proportional to 53,931.13 and 84,417.63

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Solution

The third proportional to 53,931.13 and 84,417.63 is: 132,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,931.13 : 84,417.63 = 84,417.63 : x
  2. Step 2: Convert to fraction form
    53,931.13/84,417.63 = 84,417.63/x
  3. Step 3: Cross multiply
    53,931.13x = 84,417.63 × 84,417.63
  4. Step 4: Simplify right side
    53,931.13x = 7,126,335,410.64
  5. Step 5: Solve for x
    x = 7,126,335,410.64/53,931.13
  6. Step 6: Final answer
    x = 132,137.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.