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Finding the Third Proportional to 69,160 and 147,536

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Solution

The third proportional to 69,160 and 147,536 is: 314,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,160 : 147,536 = 147,536 : x
  2. Step 2: Convert to fraction form
    69,160/147,536 = 147,536/x
  3. Step 3: Cross multiply
    69,160x = 147,536 × 147,536
  4. Step 4: Simplify right side
    69,160x = 21,766,871,296
  5. Step 5: Solve for x
    x = 21,766,871,296/69,160
  6. Step 6: Final answer
    x = 314,732.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.