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Finding the Third Proportional to 58,818 and 91,146

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Solution

The third proportional to 58,818 and 91,146 is: 141,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,818 : 91,146 = 91,146 : x
  2. Step 2: Convert to fraction form
    58,818/91,146 = 91,146/x
  3. Step 3: Cross multiply
    58,818x = 91,146 × 91,146
  4. Step 4: Simplify right side
    58,818x = 8,307,593,316
  5. Step 5: Solve for x
    x = 8,307,593,316/58,818
  6. Step 6: Final answer
    x = 141,242.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.