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Finding the Third Proportional to 62,462.63 and 89,023.13

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Solution

The third proportional to 62,462.63 and 89,023.13 is: 126,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,462.63 : 89,023.13 = 89,023.13 : x
  2. Step 2: Convert to fraction form
    62,462.63/89,023.13 = 89,023.13/x
  3. Step 3: Cross multiply
    62,462.63x = 89,023.13 × 89,023.13
  4. Step 4: Simplify right side
    62,462.63x = 7,925,116,784.77
  5. Step 5: Solve for x
    x = 7,925,116,784.77/62,462.63
  6. Step 6: Final answer
    x = 126,877.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.