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Finding the Third Proportional to 77,924 and 120,612

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Solution

The third proportional to 77,924 and 120,612 is: 186,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924 : 120,612 = 120,612 : x
  2. Step 2: Convert to fraction form
    77,924/120,612 = 120,612/x
  3. Step 3: Cross multiply
    77,924x = 120,612 × 120,612
  4. Step 4: Simplify right side
    77,924x = 14,547,254,544
  5. Step 5: Solve for x
    x = 14,547,254,544/77,924
  6. Step 6: Final answer
    x = 186,685.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.