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Finding the Third Proportional to 97,392 and 130,050

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Solution

The third proportional to 97,392 and 130,050 is: 173,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,392 : 130,050 = 130,050 : x
  2. Step 2: Convert to fraction form
    97,392/130,050 = 130,050/x
  3. Step 3: Cross multiply
    97,392x = 130,050 × 130,050
  4. Step 4: Simplify right side
    97,392x = 16,913,002,500
  5. Step 5: Solve for x
    x = 16,913,002,500/97,392
  6. Step 6: Final answer
    x = 173,659.05

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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.