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Finding the Third Proportional to 68,447 and 148,528

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Solution

The third proportional to 68,447 and 148,528 is: 322,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,447 : 148,528 = 148,528 : x
  2. Step 2: Convert to fraction form
    68,447/148,528 = 148,528/x
  3. Step 3: Cross multiply
    68,447x = 148,528 × 148,528
  4. Step 4: Simplify right side
    68,447x = 22,060,566,784
  5. Step 5: Solve for x
    x = 22,060,566,784/68,447
  6. Step 6: Final answer
    x = 322,301.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.