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Finding the Third Proportional to 93,788 and 132,076

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Solution

The third proportional to 93,788 and 132,076 is: 185,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,788 : 132,076 = 132,076 : x
  2. Step 2: Convert to fraction form
    93,788/132,076 = 132,076/x
  3. Step 3: Cross multiply
    93,788x = 132,076 × 132,076
  4. Step 4: Simplify right side
    93,788x = 17,444,069,776
  5. Step 5: Solve for x
    x = 17,444,069,776/93,788
  6. Step 6: Final answer
    x = 185,994.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.