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Finding the Third Proportional to 58,887 and 122,310

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Solution

The third proportional to 58,887 and 122,310 is: 254,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,887 : 122,310 = 122,310 : x
  2. Step 2: Convert to fraction form
    58,887/122,310 = 122,310/x
  3. Step 3: Cross multiply
    58,887x = 122,310 × 122,310
  4. Step 4: Simplify right side
    58,887x = 14,959,736,100
  5. Step 5: Solve for x
    x = 14,959,736,100/58,887
  6. Step 6: Final answer
    x = 254,041.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.