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Finding the Third Proportional to 55,413 and 118,703

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Solution

The third proportional to 55,413 and 118,703 is: 254,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 118,703 = 118,703 : x
  2. Step 2: Convert to fraction form
    55,413/118,703 = 118,703/x
  3. Step 3: Cross multiply
    55,413x = 118,703 × 118,703
  4. Step 4: Simplify right side
    55,413x = 14,090,402,209
  5. Step 5: Solve for x
    x = 14,090,402,209/55,413
  6. Step 6: Final answer
    x = 254,279.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.