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Finding the Third Proportional to 56,290 and 89,132

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Solution

The third proportional to 56,290 and 89,132 is: 141,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,290 : 89,132 = 89,132 : x
  2. Step 2: Convert to fraction form
    56,290/89,132 = 89,132/x
  3. Step 3: Cross multiply
    56,290x = 89,132 × 89,132
  4. Step 4: Simplify right side
    56,290x = 7,944,513,424
  5. Step 5: Solve for x
    x = 7,944,513,424/56,290
  6. Step 6: Final answer
    x = 141,135.43

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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.