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Finding the Third Proportional to 56,301 and 121,624

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Solution

The third proportional to 56,301 and 121,624 is: 262,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,301 : 121,624 = 121,624 : x
  2. Step 2: Convert to fraction form
    56,301/121,624 = 121,624/x
  3. Step 3: Cross multiply
    56,301x = 121,624 × 121,624
  4. Step 4: Simplify right side
    56,301x = 14,792,397,376
  5. Step 5: Solve for x
    x = 14,792,397,376/56,301
  6. Step 6: Final answer
    x = 262,737.74

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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.