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Finding the Third Proportional to 45,159 and 106,612.50

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Solution

The third proportional to 45,159 and 106,612.50 is: 251,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,159 : 106,612.50 = 106,612.50 : x
  2. Step 2: Convert to fraction form
    45,159/106,612.50 = 106,612.50/x
  3. Step 3: Cross multiply
    45,159x = 106,612.50 × 106,612.50
  4. Step 4: Simplify right side
    45,159x = 11,366,225,156.25
  5. Step 5: Solve for x
    x = 11,366,225,156.25/45,159
  6. Step 6: Final answer
    x = 251,693.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.