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Finding the Third Proportional to 97,854 and 151,201

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Solution

The third proportional to 97,854 and 151,201 is: 233,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854 : 151,201 = 151,201 : x
  2. Step 2: Convert to fraction form
    97,854/151,201 = 151,201/x
  3. Step 3: Cross multiply
    97,854x = 151,201 × 151,201
  4. Step 4: Simplify right side
    97,854x = 22,861,742,401
  5. Step 5: Solve for x
    x = 22,861,742,401/97,854
  6. Step 6: Final answer
    x = 233,631.15

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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.