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Finding the Third Proportional to 42,148.16 and 62,580.09

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Solution

The third proportional to 42,148.16 and 62,580.09 is: 92,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148.16 : 62,580.09 = 62,580.09 : x
  2. Step 2: Convert to fraction form
    42,148.16/62,580.09 = 62,580.09/x
  3. Step 3: Cross multiply
    42,148.16x = 62,580.09 × 62,580.09
  4. Step 4: Simplify right side
    42,148.16x = 3,916,268,133.76
  5. Step 5: Solve for x
    x = 3,916,268,133.76/42,148.16
  6. Step 6: Final answer
    x = 92,916.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.