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Finding the Third Proportional to 58,914 and 91,368

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Solution

The third proportional to 58,914 and 91,368 is: 141,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,914 : 91,368 = 91,368 : x
  2. Step 2: Convert to fraction form
    58,914/91,368 = 91,368/x
  3. Step 3: Cross multiply
    58,914x = 91,368 × 91,368
  4. Step 4: Simplify right side
    58,914x = 8,348,111,424
  5. Step 5: Solve for x
    x = 8,348,111,424/58,914
  6. Step 6: Final answer
    x = 141,699.96

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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.