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Finding the Third Proportional to 98,475.75 and 152,087.06

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Solution

The third proportional to 98,475.75 and 152,087.06 is: 234,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475.75 : 152,087.06 = 152,087.06 : x
  2. Step 2: Convert to fraction form
    98,475.75/152,087.06 = 152,087.06/x
  3. Step 3: Cross multiply
    98,475.75x = 152,087.06 × 152,087.06
  4. Step 4: Simplify right side
    98,475.75x = 23,130,474,579.88
  5. Step 5: Solve for x
    x = 23,130,474,579.88/98,475.75
  6. Step 6: Final answer
    x = 234,884.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.