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Finding the Third Proportional to 97,119 and 151,389

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Solution

The third proportional to 97,119 and 151,389 is: 235,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,119 : 151,389 = 151,389 : x
  2. Step 2: Convert to fraction form
    97,119/151,389 = 151,389/x
  3. Step 3: Cross multiply
    97,119x = 151,389 × 151,389
  4. Step 4: Simplify right side
    97,119x = 22,918,629,321
  5. Step 5: Solve for x
    x = 22,918,629,321/97,119
  6. Step 6: Final answer
    x = 235,985.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.