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Finding the Third Proportional to 68,095 and 145,454

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Solution

The third proportional to 68,095 and 145,454 is: 310,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,095 : 145,454 = 145,454 : x
  2. Step 2: Convert to fraction form
    68,095/145,454 = 145,454/x
  3. Step 3: Cross multiply
    68,095x = 145,454 × 145,454
  4. Step 4: Simplify right side
    68,095x = 21,156,866,116
  5. Step 5: Solve for x
    x = 21,156,866,116/68,095
  6. Step 6: Final answer
    x = 310,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.