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Finding the Third Proportional to 97,092 and 130,390

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Solution

The third proportional to 97,092 and 130,390 is: 175,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092 : 130,390 = 130,390 : x
  2. Step 2: Convert to fraction form
    97,092/130,390 = 130,390/x
  3. Step 3: Cross multiply
    97,092x = 130,390 × 130,390
  4. Step 4: Simplify right side
    97,092x = 17,001,552,100
  5. Step 5: Solve for x
    x = 17,001,552,100/97,092
  6. Step 6: Final answer
    x = 175,107.65

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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.