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Finding the Third Proportional to 98,254 and 155,825.50

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Solution

The third proportional to 98,254 and 155,825.50 is: 247,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254 : 155,825.50 = 155,825.50 : x
  2. Step 2: Convert to fraction form
    98,254/155,825.50 = 155,825.50/x
  3. Step 3: Cross multiply
    98,254x = 155,825.50 × 155,825.50
  4. Step 4: Simplify right side
    98,254x = 24,281,586,450.25
  5. Step 5: Solve for x
    x = 24,281,586,450.25/98,254
  6. Step 6: Final answer
    x = 247,130.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.