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Finding the Third Proportional to 45,567 and 64,139

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Solution

The third proportional to 45,567 and 64,139 is: 90,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,567 : 64,139 = 64,139 : x
  2. Step 2: Convert to fraction form
    45,567/64,139 = 64,139/x
  3. Step 3: Cross multiply
    45,567x = 64,139 × 64,139
  4. Step 4: Simplify right side
    45,567x = 4,113,811,321
  5. Step 5: Solve for x
    x = 4,113,811,321/45,567
  6. Step 6: Final answer
    x = 90,280.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.