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Finding the Third Proportional to 58,610 and 91,875

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Solution

The third proportional to 58,610 and 91,875 is: 144,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,610 : 91,875 = 91,875 : x
  2. Step 2: Convert to fraction form
    58,610/91,875 = 91,875/x
  3. Step 3: Cross multiply
    58,610x = 91,875 × 91,875
  4. Step 4: Simplify right side
    58,610x = 8,441,015,625
  5. Step 5: Solve for x
    x = 8,441,015,625/58,610
  6. Step 6: Final answer
    x = 144,020.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.