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Finding the Third Proportional to 103,685 and 146,688

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Solution

The third proportional to 103,685 and 146,688 is: 207,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 146,688 = 146,688 : x
  2. Step 2: Convert to fraction form
    103,685/146,688 = 146,688/x
  3. Step 3: Cross multiply
    103,685x = 146,688 × 146,688
  4. Step 4: Simplify right side
    103,685x = 21,517,369,344
  5. Step 5: Solve for x
    x = 21,517,369,344/103,685
  6. Step 6: Final answer
    x = 207,526.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.