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Finding the Third Proportional to 64,560 and 94,272

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Solution

The third proportional to 64,560 and 94,272 is: 137,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 94,272 = 94,272 : x
  2. Step 2: Convert to fraction form
    64,560/94,272 = 94,272/x
  3. Step 3: Cross multiply
    64,560x = 94,272 × 94,272
  4. Step 4: Simplify right side
    64,560x = 8,887,209,984
  5. Step 5: Solve for x
    x = 8,887,209,984/64,560
  6. Step 6: Final answer
    x = 137,658.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.