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Finding the Third Proportional to 98,076 and 155,497.50

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Solution

The third proportional to 98,076 and 155,497.50 is: 246,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076 : 155,497.50 = 155,497.50 : x
  2. Step 2: Convert to fraction form
    98,076/155,497.50 = 155,497.50/x
  3. Step 3: Cross multiply
    98,076x = 155,497.50 × 155,497.50
  4. Step 4: Simplify right side
    98,076x = 24,179,472,506.25
  5. Step 5: Solve for x
    x = 24,179,472,506.25/98,076
  6. Step 6: Final answer
    x = 246,538.12

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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.