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Finding the Third Proportional to 113,726 and 176,584

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Solution

The third proportional to 113,726 and 176,584 is: 274,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,726 : 176,584 = 176,584 : x
  2. Step 2: Convert to fraction form
    113,726/176,584 = 176,584/x
  3. Step 3: Cross multiply
    113,726x = 176,584 × 176,584
  4. Step 4: Simplify right side
    113,726x = 31,181,909,056
  5. Step 5: Solve for x
    x = 31,181,909,056/113,726
  6. Step 6: Final answer
    x = 274,184.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.