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Finding the Third Proportional to 77,878 and 120,840

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Solution

The third proportional to 77,878 and 120,840 is: 187,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878 : 120,840 = 120,840 : x
  2. Step 2: Convert to fraction form
    77,878/120,840 = 120,840/x
  3. Step 3: Cross multiply
    77,878x = 120,840 × 120,840
  4. Step 4: Simplify right side
    77,878x = 14,602,305,600
  5. Step 5: Solve for x
    x = 14,602,305,600/77,878
  6. Step 6: Final answer
    x = 187,502.32

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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.