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Finding the Third Proportional to 91,216 and 145,714

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Solution

The third proportional to 91,216 and 145,714 is: 232,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,216 : 145,714 = 145,714 : x
  2. Step 2: Convert to fraction form
    91,216/145,714 = 145,714/x
  3. Step 3: Cross multiply
    91,216x = 145,714 × 145,714
  4. Step 4: Simplify right side
    91,216x = 21,232,569,796
  5. Step 5: Solve for x
    x = 21,232,569,796/91,216
  6. Step 6: Final answer
    x = 232,772.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.