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Finding the Third Proportional to 97,173 and 154,548

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Solution

The third proportional to 97,173 and 154,548 is: 245,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,173 : 154,548 = 154,548 : x
  2. Step 2: Convert to fraction form
    97,173/154,548 = 154,548/x
  3. Step 3: Cross multiply
    97,173x = 154,548 × 154,548
  4. Step 4: Simplify right side
    97,173x = 23,885,084,304
  5. Step 5: Solve for x
    x = 23,885,084,304/97,173
  6. Step 6: Final answer
    x = 245,799.60

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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.