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Finding the Third Proportional to 66,610 and 139,378

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Solution

The third proportional to 66,610 and 139,378 is: 291,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,610 : 139,378 = 139,378 : x
  2. Step 2: Convert to fraction form
    66,610/139,378 = 139,378/x
  3. Step 3: Cross multiply
    66,610x = 139,378 × 139,378
  4. Step 4: Simplify right side
    66,610x = 19,426,226,884
  5. Step 5: Solve for x
    x = 19,426,226,884/66,610
  6. Step 6: Final answer
    x = 291,641.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.