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Finding the Third Proportional to 56,689 and 88,479

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Solution

The third proportional to 56,689 and 88,479 is: 138,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,689 : 88,479 = 88,479 : x
  2. Step 2: Convert to fraction form
    56,689/88,479 = 88,479/x
  3. Step 3: Cross multiply
    56,689x = 88,479 × 88,479
  4. Step 4: Simplify right side
    56,689x = 7,828,533,441
  5. Step 5: Solve for x
    x = 7,828,533,441/56,689
  6. Step 6: Final answer
    x = 138,096.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.