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Finding the Third Proportional to 97,929 and 171,436.50

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Solution

The third proportional to 97,929 and 171,436.50 is: 300,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,929 : 171,436.50 = 171,436.50 : x
  2. Step 2: Convert to fraction form
    97,929/171,436.50 = 171,436.50/x
  3. Step 3: Cross multiply
    97,929x = 171,436.50 × 171,436.50
  4. Step 4: Simplify right side
    97,929x = 29,390,473,532.25
  5. Step 5: Solve for x
    x = 29,390,473,532.25/97,929
  6. Step 6: Final answer
    x = 300,120.23

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.