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Finding the Third Proportional to 64,716 and 101,541

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Solution

The third proportional to 64,716 and 101,541 is: 159,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716 : 101,541 = 101,541 : x
  2. Step 2: Convert to fraction form
    64,716/101,541 = 101,541/x
  3. Step 3: Cross multiply
    64,716x = 101,541 × 101,541
  4. Step 4: Simplify right side
    64,716x = 10,310,574,681
  5. Step 5: Solve for x
    x = 10,310,574,681/64,716
  6. Step 6: Final answer
    x = 159,320.33

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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.