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Finding the Third Proportional to 45,502 and 98,403

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Solution

The third proportional to 45,502 and 98,403 is: 212,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,502 : 98,403 = 98,403 : x
  2. Step 2: Convert to fraction form
    45,502/98,403 = 98,403/x
  3. Step 3: Cross multiply
    45,502x = 98,403 × 98,403
  4. Step 4: Simplify right side
    45,502x = 9,683,150,409
  5. Step 5: Solve for x
    x = 9,683,150,409/45,502
  6. Step 6: Final answer
    x = 212,807.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.