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Finding the Third Proportional to 42,070.50 and 89,754

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Solution

The third proportional to 42,070.50 and 89,754 is: 191,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,070.50 : 89,754 = 89,754 : x
  2. Step 2: Convert to fraction form
    42,070.50/89,754 = 89,754/x
  3. Step 3: Cross multiply
    42,070.50x = 89,754 × 89,754
  4. Step 4: Simplify right side
    42,070.50x = 8,055,780,516
  5. Step 5: Solve for x
    x = 8,055,780,516/42,070.50
  6. Step 6: Final answer
    x = 191,482.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.