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Finding the Third Proportional to 90,478 and 133,014

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Solution

The third proportional to 90,478 and 133,014 is: 195,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,478 : 133,014 = 133,014 : x
  2. Step 2: Convert to fraction form
    90,478/133,014 = 133,014/x
  3. Step 3: Cross multiply
    90,478x = 133,014 × 133,014
  4. Step 4: Simplify right side
    90,478x = 17,692,724,196
  5. Step 5: Solve for x
    x = 17,692,724,196/90,478
  6. Step 6: Final answer
    x = 195,547.25

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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.