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Finding the Third Proportional to 121,952 and 186,528

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Solution

The third proportional to 121,952 and 186,528 is: 285,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,952 : 186,528 = 186,528 : x
  2. Step 2: Convert to fraction form
    121,952/186,528 = 186,528/x
  3. Step 3: Cross multiply
    121,952x = 186,528 × 186,528
  4. Step 4: Simplify right side
    121,952x = 34,792,694,784
  5. Step 5: Solve for x
    x = 34,792,694,784/121,952
  6. Step 6: Final answer
    x = 285,298.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.