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Finding the Third Proportional to 67,300 and 98,502

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Solution

The third proportional to 67,300 and 98,502 is: 144,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,300 : 98,502 = 98,502 : x
  2. Step 2: Convert to fraction form
    67,300/98,502 = 98,502/x
  3. Step 3: Cross multiply
    67,300x = 98,502 × 98,502
  4. Step 4: Simplify right side
    67,300x = 9,702,644,004
  5. Step 5: Solve for x
    x = 9,702,644,004/67,300
  6. Step 6: Final answer
    x = 144,170.04

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