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Finding the Third Proportional to 97,082 and 130,460

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Solution

The third proportional to 97,082 and 130,460 is: 175,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 130,460 = 130,460 : x
  2. Step 2: Convert to fraction form
    97,082/130,460 = 130,460/x
  3. Step 3: Cross multiply
    97,082x = 130,460 × 130,460
  4. Step 4: Simplify right side
    97,082x = 17,019,811,600
  5. Step 5: Solve for x
    x = 17,019,811,600/97,082
  6. Step 6: Final answer
    x = 175,313.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.