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Finding the Third Proportional to 67,528 and 145,522

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Solution

The third proportional to 67,528 and 145,522 is: 313,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,528 : 145,522 = 145,522 : x
  2. Step 2: Convert to fraction form
    67,528/145,522 = 145,522/x
  3. Step 3: Cross multiply
    67,528x = 145,522 × 145,522
  4. Step 4: Simplify right side
    67,528x = 21,176,652,484
  5. Step 5: Solve for x
    x = 21,176,652,484/67,528
  6. Step 6: Final answer
    x = 313,598.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.