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Finding the Third Proportional to 64,981 and 103,386

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Solution

The third proportional to 64,981 and 103,386 is: 164,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,981 : 103,386 = 103,386 : x
  2. Step 2: Convert to fraction form
    64,981/103,386 = 103,386/x
  3. Step 3: Cross multiply
    64,981x = 103,386 × 103,386
  4. Step 4: Simplify right side
    64,981x = 10,688,664,996
  5. Step 5: Solve for x
    x = 10,688,664,996/64,981
  6. Step 6: Final answer
    x = 164,489.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.