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Finding the Third Proportional to 63,840 and 101,044

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Solution

The third proportional to 63,840 and 101,044 is: 159,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,840 : 101,044 = 101,044 : x
  2. Step 2: Convert to fraction form
    63,840/101,044 = 101,044/x
  3. Step 3: Cross multiply
    63,840x = 101,044 × 101,044
  4. Step 4: Simplify right side
    63,840x = 10,209,889,936
  5. Step 5: Solve for x
    x = 10,209,889,936/63,840
  6. Step 6: Final answer
    x = 159,929.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.