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Finding the Third Proportional to 45,009 and 96,169.50

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Solution

The third proportional to 45,009 and 96,169.50 is: 205,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 96,169.50 = 96,169.50 : x
  2. Step 2: Convert to fraction form
    45,009/96,169.50 = 96,169.50/x
  3. Step 3: Cross multiply
    45,009x = 96,169.50 × 96,169.50
  4. Step 4: Simplify right side
    45,009x = 9,248,572,730.25
  5. Step 5: Solve for x
    x = 9,248,572,730.25/45,009
  6. Step 6: Final answer
    x = 205,482.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.