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Finding the Third Proportional to 126,528 and 185,985

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Solution

The third proportional to 126,528 and 185,985 is: 273,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,528 : 185,985 = 185,985 : x
  2. Step 2: Convert to fraction form
    126,528/185,985 = 185,985/x
  3. Step 3: Cross multiply
    126,528x = 185,985 × 185,985
  4. Step 4: Simplify right side
    126,528x = 34,590,420,225
  5. Step 5: Solve for x
    x = 34,590,420,225/126,528
  6. Step 6: Final answer
    x = 273,381.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.