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Finding the Third Proportional to 94,125 and 183,521.50

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Solution

The third proportional to 94,125 and 183,521.50 is: 357,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,125 : 183,521.50 = 183,521.50 : x
  2. Step 2: Convert to fraction form
    94,125/183,521.50 = 183,521.50/x
  3. Step 3: Cross multiply
    94,125x = 183,521.50 × 183,521.50
  4. Step 4: Simplify right side
    94,125x = 33,680,140,962.25
  5. Step 5: Solve for x
    x = 33,680,140,962.25/94,125
  6. Step 6: Final answer
    x = 357,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.