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Finding the Third Proportional to 67,748 and 148,412

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Solution

The third proportional to 67,748 and 148,412 is: 325,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,748 : 148,412 = 148,412 : x
  2. Step 2: Convert to fraction form
    67,748/148,412 = 148,412/x
  3. Step 3: Cross multiply
    67,748x = 148,412 × 148,412
  4. Step 4: Simplify right side
    67,748x = 22,026,121,744
  5. Step 5: Solve for x
    x = 22,026,121,744/67,748
  6. Step 6: Final answer
    x = 325,118.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.