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Finding the Third Proportional to 90,300 and 139,743

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Solution

The third proportional to 90,300 and 139,743 is: 216,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,300 : 139,743 = 139,743 : x
  2. Step 2: Convert to fraction form
    90,300/139,743 = 139,743/x
  3. Step 3: Cross multiply
    90,300x = 139,743 × 139,743
  4. Step 4: Simplify right side
    90,300x = 19,528,106,049
  5. Step 5: Solve for x
    x = 19,528,106,049/90,300
  6. Step 6: Final answer
    x = 216,258.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.