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Finding the Third Proportional to 66,524 and 147,828.50

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Solution

The third proportional to 66,524 and 147,828.50 is: 328,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524 : 147,828.50 = 147,828.50 : x
  2. Step 2: Convert to fraction form
    66,524/147,828.50 = 147,828.50/x
  3. Step 3: Cross multiply
    66,524x = 147,828.50 × 147,828.50
  4. Step 4: Simplify right side
    66,524x = 21,853,265,412.25
  5. Step 5: Solve for x
    x = 21,853,265,412.25/66,524
  6. Step 6: Final answer
    x = 328,501.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.