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Finding the Third Proportional to 62,170 and 98,594

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Solution

The third proportional to 62,170 and 98,594 is: 156,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,170 : 98,594 = 98,594 : x
  2. Step 2: Convert to fraction form
    62,170/98,594 = 98,594/x
  3. Step 3: Cross multiply
    62,170x = 98,594 × 98,594
  4. Step 4: Simplify right side
    62,170x = 9,720,776,836
  5. Step 5: Solve for x
    x = 9,720,776,836/62,170
  6. Step 6: Final answer
    x = 156,358.00

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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.