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Finding the Third Proportional to 106,776 and 247,160

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Solution

The third proportional to 106,776 and 247,160 is: 572,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776 : 247,160 = 247,160 : x
  2. Step 2: Convert to fraction form
    106,776/247,160 = 247,160/x
  3. Step 3: Cross multiply
    106,776x = 247,160 × 247,160
  4. Step 4: Simplify right side
    106,776x = 61,088,065,600
  5. Step 5: Solve for x
    x = 61,088,065,600/106,776
  6. Step 6: Final answer
    x = 572,114.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.