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Finding the Third Proportional to 58,786 and 123,332

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Solution

The third proportional to 58,786 and 123,332 is: 258,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,786 : 123,332 = 123,332 : x
  2. Step 2: Convert to fraction form
    58,786/123,332 = 123,332/x
  3. Step 3: Cross multiply
    58,786x = 123,332 × 123,332
  4. Step 4: Simplify right side
    58,786x = 15,210,782,224
  5. Step 5: Solve for x
    x = 15,210,782,224/58,786
  6. Step 6: Final answer
    x = 258,748.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.