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Finding the Third Proportional to 68,551 and 102,261

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Solution

The third proportional to 68,551 and 102,261 is: 152,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,551 : 102,261 = 102,261 : x
  2. Step 2: Convert to fraction form
    68,551/102,261 = 102,261/x
  3. Step 3: Cross multiply
    68,551x = 102,261 × 102,261
  4. Step 4: Simplify right side
    68,551x = 10,457,312,121
  5. Step 5: Solve for x
    x = 10,457,312,121/68,551
  6. Step 6: Final answer
    x = 152,547.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.