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Finding the Third Proportional to 56,280 and 89,118

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Solution

The third proportional to 56,280 and 89,118 is: 141,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,280 : 89,118 = 89,118 : x
  2. Step 2: Convert to fraction form
    56,280/89,118 = 89,118/x
  3. Step 3: Cross multiply
    56,280x = 89,118 × 89,118
  4. Step 4: Simplify right side
    56,280x = 7,942,017,924
  5. Step 5: Solve for x
    x = 7,942,017,924/56,280
  6. Step 6: Final answer
    x = 141,116.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.