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Finding the Third Proportional to 55,292 and 118,473

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Solution

The third proportional to 55,292 and 118,473 is: 253,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,292 : 118,473 = 118,473 : x
  2. Step 2: Convert to fraction form
    55,292/118,473 = 118,473/x
  3. Step 3: Cross multiply
    55,292x = 118,473 × 118,473
  4. Step 4: Simplify right side
    55,292x = 14,035,851,729
  5. Step 5: Solve for x
    x = 14,035,851,729/55,292
  6. Step 6: Final answer
    x = 253,849.59

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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.