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Finding the Third Proportional to 66,126.50 and 100,574

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Solution

The third proportional to 66,126.50 and 100,574 is: 152,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,126.50 : 100,574 = 100,574 : x
  2. Step 2: Convert to fraction form
    66,126.50/100,574 = 100,574/x
  3. Step 3: Cross multiply
    66,126.50x = 100,574 × 100,574
  4. Step 4: Simplify right side
    66,126.50x = 10,115,129,476
  5. Step 5: Solve for x
    x = 10,115,129,476/66,126.50
  6. Step 6: Final answer
    x = 152,966.35

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