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Finding the Third Proportional to 48,681 and 71,106

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Solution

The third proportional to 48,681 and 71,106 is: 103,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 71,106 = 71,106 : x
  2. Step 2: Convert to fraction form
    48,681/71,106 = 71,106/x
  3. Step 3: Cross multiply
    48,681x = 71,106 × 71,106
  4. Step 4: Simplify right side
    48,681x = 5,056,063,236
  5. Step 5: Solve for x
    x = 5,056,063,236/48,681
  6. Step 6: Final answer
    x = 103,861.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.