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Finding the Third Proportional to 55,506 and 84,649.50

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Solution

The third proportional to 55,506 and 84,649.50 is: 129,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506 : 84,649.50 = 84,649.50 : x
  2. Step 2: Convert to fraction form
    55,506/84,649.50 = 84,649.50/x
  3. Step 3: Cross multiply
    55,506x = 84,649.50 × 84,649.50
  4. Step 4: Simplify right side
    55,506x = 7,165,537,850.25
  5. Step 5: Solve for x
    x = 7,165,537,850.25/55,506
  6. Step 6: Final answer
    x = 129,094.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.