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Finding the Third Proportional to 59,244 and 139,854

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Solution

The third proportional to 59,244 and 139,854 is: 330,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,244 : 139,854 = 139,854 : x
  2. Step 2: Convert to fraction form
    59,244/139,854 = 139,854/x
  3. Step 3: Cross multiply
    59,244x = 139,854 × 139,854
  4. Step 4: Simplify right side
    59,244x = 19,559,141,316
  5. Step 5: Solve for x
    x = 19,559,141,316/59,244
  6. Step 6: Final answer
    x = 330,145.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.