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Finding the Third Proportional to 64,068 and 97,682

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Solution

The third proportional to 64,068 and 97,682 is: 148,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,068 : 97,682 = 97,682 : x
  2. Step 2: Convert to fraction form
    64,068/97,682 = 97,682/x
  3. Step 3: Cross multiply
    64,068x = 97,682 × 97,682
  4. Step 4: Simplify right side
    64,068x = 9,541,773,124
  5. Step 5: Solve for x
    x = 9,541,773,124/64,068
  6. Step 6: Final answer
    x = 148,931.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.