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Finding the Third Proportional to 67,835 and 147,341

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Solution

The third proportional to 67,835 and 147,341 is: 320,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,835 : 147,341 = 147,341 : x
  2. Step 2: Convert to fraction form
    67,835/147,341 = 147,341/x
  3. Step 3: Cross multiply
    67,835x = 147,341 × 147,341
  4. Step 4: Simplify right side
    67,835x = 21,709,370,281
  5. Step 5: Solve for x
    x = 21,709,370,281/67,835
  6. Step 6: Final answer
    x = 320,031.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.