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Finding the Third Proportional to 109,603.13 and 148,528.69

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Solution

The third proportional to 109,603.13 and 148,528.69 is: 201,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,603.13 : 148,528.69 = 148,528.69 : x
  2. Step 2: Convert to fraction form
    109,603.13/148,528.69 = 148,528.69/x
  3. Step 3: Cross multiply
    109,603.13x = 148,528.69 × 148,528.69
  4. Step 4: Simplify right side
    109,603.13x = 22,060,771,010.47
  5. Step 5: Solve for x
    x = 22,060,771,010.47/109,603.13
  6. Step 6: Final answer
    x = 201,278.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.