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Finding the Third Proportional to 56,387 and 89,288

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Solution

The third proportional to 56,387 and 89,288 is: 141,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387 : 89,288 = 89,288 : x
  2. Step 2: Convert to fraction form
    56,387/89,288 = 89,288/x
  3. Step 3: Cross multiply
    56,387x = 89,288 × 89,288
  4. Step 4: Simplify right side
    56,387x = 7,972,346,944
  5. Step 5: Solve for x
    x = 7,972,346,944/56,387
  6. Step 6: Final answer
    x = 141,386.26

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