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Finding the Third Proportional to 60,922.13 and 146,756.81

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Solution

The third proportional to 60,922.13 and 146,756.81 is: 353,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,922.13 : 146,756.81 = 146,756.81 : x
  2. Step 2: Convert to fraction form
    60,922.13/146,756.81 = 146,756.81/x
  3. Step 3: Cross multiply
    60,922.13x = 146,756.81 × 146,756.81
  4. Step 4: Simplify right side
    60,922.13x = 21,537,562,015.16
  5. Step 5: Solve for x
    x = 21,537,562,015.16/60,922.13
  6. Step 6: Final answer
    x = 353,526.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.