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Finding the Third Proportional to 97,002.56 and 130,354.31

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Solution

The third proportional to 97,002.56 and 130,354.31 is: 175,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002.56 : 130,354.31 = 130,354.31 : x
  2. Step 2: Convert to fraction form
    97,002.56/130,354.31 = 130,354.31/x
  3. Step 3: Cross multiply
    97,002.56x = 130,354.31 × 130,354.31
  4. Step 4: Simplify right side
    97,002.56x = 16,992,246,787.35
  5. Step 5: Solve for x
    x = 16,992,246,787.35/97,002.56
  6. Step 6: Final answer
    x = 175,173.17

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