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Finding the Third Proportional to 66,528 and 99,529.50

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Solution

The third proportional to 66,528 and 99,529.50 is: 148,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,528 : 99,529.50 = 99,529.50 : x
  2. Step 2: Convert to fraction form
    66,528/99,529.50 = 99,529.50/x
  3. Step 3: Cross multiply
    66,528x = 99,529.50 × 99,529.50
  4. Step 4: Simplify right side
    66,528x = 9,906,121,370.25
  5. Step 5: Solve for x
    x = 9,906,121,370.25/66,528
  6. Step 6: Final answer
    x = 148,901.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.