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Finding the Third Proportional to 107,358 and 145,789

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Solution

The third proportional to 107,358 and 145,789 is: 197,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,358 : 145,789 = 145,789 : x
  2. Step 2: Convert to fraction form
    107,358/145,789 = 145,789/x
  3. Step 3: Cross multiply
    107,358x = 145,789 × 145,789
  4. Step 4: Simplify right side
    107,358x = 21,254,432,521
  5. Step 5: Solve for x
    x = 21,254,432,521/107,358
  6. Step 6: Final answer
    x = 197,977.17

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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.