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Finding the Third Proportional to 119,076 and 161,716

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Solution

The third proportional to 119,076 and 161,716 is: 219,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076 : 161,716 = 161,716 : x
  2. Step 2: Convert to fraction form
    119,076/161,716 = 161,716/x
  3. Step 3: Cross multiply
    119,076x = 161,716 × 161,716
  4. Step 4: Simplify right side
    119,076x = 26,152,064,656
  5. Step 5: Solve for x
    x = 26,152,064,656/119,076
  6. Step 6: Final answer
    x = 219,624.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.