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Finding the Third Proportional to 62,141 and 93,218.25

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Solution

The third proportional to 62,141 and 93,218.25 is: 139,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,141 : 93,218.25 = 93,218.25 : x
  2. Step 2: Convert to fraction form
    62,141/93,218.25 = 93,218.25/x
  3. Step 3: Cross multiply
    62,141x = 93,218.25 × 93,218.25
  4. Step 4: Simplify right side
    62,141x = 8,689,642,133.06
  5. Step 5: Solve for x
    x = 8,689,642,133.06/62,141
  6. Step 6: Final answer
    x = 139,837.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.