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Finding the Third Proportional to 111,480 and 163,488

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Solution

The third proportional to 111,480 and 163,488 is: 239,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,480 : 163,488 = 163,488 : x
  2. Step 2: Convert to fraction form
    111,480/163,488 = 163,488/x
  3. Step 3: Cross multiply
    111,480x = 163,488 × 163,488
  4. Step 4: Simplify right side
    111,480x = 26,728,326,144
  5. Step 5: Solve for x
    x = 26,728,326,144/111,480
  6. Step 6: Final answer
    x = 239,758.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.