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Finding the Third Proportional to 64,502 and 151,775

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Solution

The third proportional to 64,502 and 151,775 is: 357,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,502 : 151,775 = 151,775 : x
  2. Step 2: Convert to fraction form
    64,502/151,775 = 151,775/x
  3. Step 3: Cross multiply
    64,502x = 151,775 × 151,775
  4. Step 4: Simplify right side
    64,502x = 23,035,650,625
  5. Step 5: Solve for x
    x = 23,035,650,625/64,502
  6. Step 6: Final answer
    x = 357,130.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.