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Finding the Third Proportional to 58,716 and 130,881

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Solution

The third proportional to 58,716 and 130,881 is: 291,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,716 : 130,881 = 130,881 : x
  2. Step 2: Convert to fraction form
    58,716/130,881 = 130,881/x
  3. Step 3: Cross multiply
    58,716x = 130,881 × 130,881
  4. Step 4: Simplify right side
    58,716x = 17,129,836,161
  5. Step 5: Solve for x
    x = 17,129,836,161/58,716
  6. Step 6: Final answer
    x = 291,740.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.