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Finding the Third Proportional to 45,312 and 105,348

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Solution

The third proportional to 45,312 and 105,348 is: 244,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 105,348 = 105,348 : x
  2. Step 2: Convert to fraction form
    45,312/105,348 = 105,348/x
  3. Step 3: Cross multiply
    45,312x = 105,348 × 105,348
  4. Step 4: Simplify right side
    45,312x = 11,098,201,104
  5. Step 5: Solve for x
    x = 11,098,201,104/45,312
  6. Step 6: Final answer
    x = 244,928.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.