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Finding the Third Proportional to 67,240 and 98,332

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Solution

The third proportional to 67,240 and 98,332 is: 143,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,240 : 98,332 = 98,332 : x
  2. Step 2: Convert to fraction form
    67,240/98,332 = 98,332/x
  3. Step 3: Cross multiply
    67,240x = 98,332 × 98,332
  4. Step 4: Simplify right side
    67,240x = 9,669,182,224
  5. Step 5: Solve for x
    x = 9,669,182,224/67,240
  6. Step 6: Final answer
    x = 143,801.04

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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.