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Finding the Third Proportional to 70,748 and 152,548

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Solution

The third proportional to 70,748 and 152,548 is: 328,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748 : 152,548 = 152,548 : x
  2. Step 2: Convert to fraction form
    70,748/152,548 = 152,548/x
  3. Step 3: Cross multiply
    70,748x = 152,548 × 152,548
  4. Step 4: Simplify right side
    70,748x = 23,270,892,304
  5. Step 5: Solve for x
    x = 23,270,892,304/70,748
  6. Step 6: Final answer
    x = 328,926.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.