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Finding the Third Proportional to 74,089 and 114,751.50

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Solution

The third proportional to 74,089 and 114,751.50 is: 177,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,089 : 114,751.50 = 114,751.50 : x
  2. Step 2: Convert to fraction form
    74,089/114,751.50 = 114,751.50/x
  3. Step 3: Cross multiply
    74,089x = 114,751.50 × 114,751.50
  4. Step 4: Simplify right side
    74,089x = 13,167,906,752.25
  5. Step 5: Solve for x
    x = 13,167,906,752.25/74,089
  6. Step 6: Final answer
    x = 177,730.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.