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Finding the Third Proportional to 98,052 and 147,078

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Solution

The third proportional to 98,052 and 147,078 is: 220,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052 : 147,078 = 147,078 : x
  2. Step 2: Convert to fraction form
    98,052/147,078 = 147,078/x
  3. Step 3: Cross multiply
    98,052x = 147,078 × 147,078
  4. Step 4: Simplify right side
    98,052x = 21,631,938,084
  5. Step 5: Solve for x
    x = 21,631,938,084/98,052
  6. Step 6: Final answer
    x = 220,617

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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.