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Finding the Third Proportional to 97,051 and 130,416

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Solution

The third proportional to 97,051 and 130,416 is: 175,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,051 : 130,416 = 130,416 : x
  2. Step 2: Convert to fraction form
    97,051/130,416 = 130,416/x
  3. Step 3: Cross multiply
    97,051x = 130,416 × 130,416
  4. Step 4: Simplify right side
    97,051x = 17,008,333,056
  5. Step 5: Solve for x
    x = 17,008,333,056/97,051
  6. Step 6: Final answer
    x = 175,251.50

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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.