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Finding the Third Proportional to 64,564 and 101,454

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Solution

The third proportional to 64,564 and 101,454 is: 159,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564 : 101,454 = 101,454 : x
  2. Step 2: Convert to fraction form
    64,564/101,454 = 101,454/x
  3. Step 3: Cross multiply
    64,564x = 101,454 × 101,454
  4. Step 4: Simplify right side
    64,564x = 10,292,914,116
  5. Step 5: Solve for x
    x = 10,292,914,116/64,564
  6. Step 6: Final answer
    x = 159,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.