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Finding the Third Proportional to 97,783 and 132,046

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Solution

The third proportional to 97,783 and 132,046 is: 178,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783 : 132,046 = 132,046 : x
  2. Step 2: Convert to fraction form
    97,783/132,046 = 132,046/x
  3. Step 3: Cross multiply
    97,783x = 132,046 × 132,046
  4. Step 4: Simplify right side
    97,783x = 17,436,146,116
  5. Step 5: Solve for x
    x = 17,436,146,116/97,783
  6. Step 6: Final answer
    x = 178,314.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.