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Finding the Third Proportional to 55,415 and 120,118

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Solution

The third proportional to 55,415 and 120,118 is: 260,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,415 : 120,118 = 120,118 : x
  2. Step 2: Convert to fraction form
    55,415/120,118 = 120,118/x
  3. Step 3: Cross multiply
    55,415x = 120,118 × 120,118
  4. Step 4: Simplify right side
    55,415x = 14,428,333,924
  5. Step 5: Solve for x
    x = 14,428,333,924/55,415
  6. Step 6: Final answer
    x = 260,368.74

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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.