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Finding the Third Proportional to 64,528 and 97,763

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Solution

The third proportional to 64,528 and 97,763 is: 148,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,528 : 97,763 = 97,763 : x
  2. Step 2: Convert to fraction form
    64,528/97,763 = 97,763/x
  3. Step 3: Cross multiply
    64,528x = 97,763 × 97,763
  4. Step 4: Simplify right side
    64,528x = 9,557,604,169
  5. Step 5: Solve for x
    x = 9,557,604,169/64,528
  6. Step 6: Final answer
    x = 148,115.61

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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.