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Finding the Third Proportional to 64,332 and 101,052

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Solution

The third proportional to 64,332 and 101,052 is: 158,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,332 : 101,052 = 101,052 : x
  2. Step 2: Convert to fraction form
    64,332/101,052 = 101,052/x
  3. Step 3: Cross multiply
    64,332x = 101,052 × 101,052
  4. Step 4: Simplify right side
    64,332x = 10,211,506,704
  5. Step 5: Solve for x
    x = 10,211,506,704/64,332
  6. Step 6: Final answer
    x = 158,731.37

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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.