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Finding the Third Proportional to 55,506 and 83,259

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Solution

The third proportional to 55,506 and 83,259 is: 124,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506 : 83,259 = 83,259 : x
  2. Step 2: Convert to fraction form
    55,506/83,259 = 83,259/x
  3. Step 3: Cross multiply
    55,506x = 83,259 × 83,259
  4. Step 4: Simplify right side
    55,506x = 6,932,061,081
  5. Step 5: Solve for x
    x = 6,932,061,081/55,506
  6. Step 6: Final answer
    x = 124,888.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.