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Finding the Third Proportional to 67,386 and 98,623

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Solution

The third proportional to 67,386 and 98,623 is: 144,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,386 : 98,623 = 98,623 : x
  2. Step 2: Convert to fraction form
    67,386/98,623 = 98,623/x
  3. Step 3: Cross multiply
    67,386x = 98,623 × 98,623
  4. Step 4: Simplify right side
    67,386x = 9,726,496,129
  5. Step 5: Solve for x
    x = 9,726,496,129/67,386
  6. Step 6: Final answer
    x = 144,340.01

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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.