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Finding the Third Proportional to 98,592 and 147,504

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Solution

The third proportional to 98,592 and 147,504 is: 220,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,592 : 147,504 = 147,504 : x
  2. Step 2: Convert to fraction form
    98,592/147,504 = 147,504/x
  3. Step 3: Cross multiply
    98,592x = 147,504 × 147,504
  4. Step 4: Simplify right side
    98,592x = 21,757,430,016
  5. Step 5: Solve for x
    x = 21,757,430,016/98,592
  6. Step 6: Final answer
    x = 220,681.50

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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.