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Finding the Third Proportional to 61,070 and 91,142

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Solution

The third proportional to 61,070 and 91,142 is: 136,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,070 : 91,142 = 91,142 : x
  2. Step 2: Convert to fraction form
    61,070/91,142 = 91,142/x
  3. Step 3: Cross multiply
    61,070x = 91,142 × 91,142
  4. Step 4: Simplify right side
    61,070x = 8,306,864,164
  5. Step 5: Solve for x
    x = 8,306,864,164/61,070
  6. Step 6: Final answer
    x = 136,022.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.