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Finding the Third Proportional to 61,581 and 97,899

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Solution

The third proportional to 61,581 and 97,899 is: 155,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,581 : 97,899 = 97,899 : x
  2. Step 2: Convert to fraction form
    61,581/97,899 = 97,899/x
  3. Step 3: Cross multiply
    61,581x = 97,899 × 97,899
  4. Step 4: Simplify right side
    61,581x = 9,584,214,201
  5. Step 5: Solve for x
    x = 9,584,214,201/61,581
  6. Step 6: Final answer
    x = 155,635.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.