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Finding the Third Proportional to 73,100 and 109,362

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Solution

The third proportional to 73,100 and 109,362 is: 163,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100 : 109,362 = 109,362 : x
  2. Step 2: Convert to fraction form
    73,100/109,362 = 109,362/x
  3. Step 3: Cross multiply
    73,100x = 109,362 × 109,362
  4. Step 4: Simplify right side
    73,100x = 11,960,047,044
  5. Step 5: Solve for x
    x = 11,960,047,044/73,100
  6. Step 6: Final answer
    x = 163,612.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.