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Finding the Third Proportional to 74,768.06 and 112,152.09

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Solution

The third proportional to 74,768.06 and 112,152.09 is: 168,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768.06 : 112,152.09 = 112,152.09 : x
  2. Step 2: Convert to fraction form
    74,768.06/112,152.09 = 112,152.09/x
  3. Step 3: Cross multiply
    74,768.06x = 112,152.09 × 112,152.09
  4. Step 4: Simplify right side
    74,768.06x = 12,578,092,132.51
  5. Step 5: Solve for x
    x = 12,578,092,132.51/74,768.06
  6. Step 6: Final answer
    x = 168,228.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.