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Finding the Third Proportional to 61,542 and 100,483.88

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Solution

The third proportional to 61,542 and 100,483.88 is: 164,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542 : 100,483.88 = 100,483.88 : x
  2. Step 2: Convert to fraction form
    61,542/100,483.88 = 100,483.88/x
  3. Step 3: Cross multiply
    61,542x = 100,483.88 × 100,483.88
  4. Step 4: Simplify right side
    61,542x = 10,097,009,135.02
  5. Step 5: Solve for x
    x = 10,097,009,135.02/61,542
  6. Step 6: Final answer
    x = 164,066.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.