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Finding the Third Proportional to 56,982 and 88,461

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Solution

The third proportional to 56,982 and 88,461 is: 137,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982 : 88,461 = 88,461 : x
  2. Step 2: Convert to fraction form
    56,982/88,461 = 88,461/x
  3. Step 3: Cross multiply
    56,982x = 88,461 × 88,461
  4. Step 4: Simplify right side
    56,982x = 7,825,348,521
  5. Step 5: Solve for x
    x = 7,825,348,521/56,982
  6. Step 6: Final answer
    x = 137,330.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.