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Finding the Third Proportional to 78,174 and 121,084

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Solution

The third proportional to 78,174 and 121,084 is: 187,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174 : 121,084 = 121,084 : x
  2. Step 2: Convert to fraction form
    78,174/121,084 = 121,084/x
  3. Step 3: Cross multiply
    78,174x = 121,084 × 121,084
  4. Step 4: Simplify right side
    78,174x = 14,661,335,056
  5. Step 5: Solve for x
    x = 14,661,335,056/78,174
  6. Step 6: Final answer
    x = 187,547.46

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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.