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Finding the Third Proportional to 130,642 and 195,453

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Solution

The third proportional to 130,642 and 195,453 is: 292,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,642 : 195,453 = 195,453 : x
  2. Step 2: Convert to fraction form
    130,642/195,453 = 195,453/x
  3. Step 3: Cross multiply
    130,642x = 195,453 × 195,453
  4. Step 4: Simplify right side
    130,642x = 38,201,875,209
  5. Step 5: Solve for x
    x = 38,201,875,209/130,642
  6. Step 6: Final answer
    x = 292,416.49

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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.