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Finding the Third Proportional to 58,645 and 126,362

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Solution

The third proportional to 58,645 and 126,362 is: 272,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645 : 126,362 = 126,362 : x
  2. Step 2: Convert to fraction form
    58,645/126,362 = 126,362/x
  3. Step 3: Cross multiply
    58,645x = 126,362 × 126,362
  4. Step 4: Simplify right side
    58,645x = 15,967,355,044
  5. Step 5: Solve for x
    x = 15,967,355,044/58,645
  6. Step 6: Final answer
    x = 272,271.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.