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Finding the Third Proportional to 97,070 and 150,789

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Solution

The third proportional to 97,070 and 150,789 is: 234,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070 : 150,789 = 150,789 : x
  2. Step 2: Convert to fraction form
    97,070/150,789 = 150,789/x
  3. Step 3: Cross multiply
    97,070x = 150,789 × 150,789
  4. Step 4: Simplify right side
    97,070x = 22,737,322,521
  5. Step 5: Solve for x
    x = 22,737,322,521/97,070
  6. Step 6: Final answer
    x = 234,236.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.