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Finding the Third Proportional to 56,294 and 89,139

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Solution

The third proportional to 56,294 and 89,139 is: 141,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294 : 89,139 = 89,139 : x
  2. Step 2: Convert to fraction form
    56,294/89,139 = 89,139/x
  3. Step 3: Cross multiply
    56,294x = 89,139 × 89,139
  4. Step 4: Simplify right side
    56,294x = 7,945,761,321
  5. Step 5: Solve for x
    x = 7,945,761,321/56,294
  6. Step 6: Final answer
    x = 141,147.57

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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.