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Finding the Third Proportional to 61,087 and 89,447

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Solution

The third proportional to 61,087 and 89,447 is: 130,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,087 : 89,447 = 89,447 : x
  2. Step 2: Convert to fraction form
    61,087/89,447 = 89,447/x
  3. Step 3: Cross multiply
    61,087x = 89,447 × 89,447
  4. Step 4: Simplify right side
    61,087x = 8,000,765,809
  5. Step 5: Solve for x
    x = 8,000,765,809/61,087
  6. Step 6: Final answer
    x = 130,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.