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Finding the Third Proportional to 58,735.13 and 94,572.56

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Solution

The third proportional to 58,735.13 and 94,572.56 is: 152,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,735.13 : 94,572.56 = 94,572.56 : x
  2. Step 2: Convert to fraction form
    58,735.13/94,572.56 = 94,572.56/x
  3. Step 3: Cross multiply
    58,735.13x = 94,572.56 × 94,572.56
  4. Step 4: Simplify right side
    58,735.13x = 8,943,969,577.82
  5. Step 5: Solve for x
    x = 8,943,969,577.82/58,735.13
  6. Step 6: Final answer
    x = 152,276.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.