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Finding the Third Proportional to 103,037 and 163,465

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Solution

The third proportional to 103,037 and 163,465 is: 259,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,037 : 163,465 = 163,465 : x
  2. Step 2: Convert to fraction form
    103,037/163,465 = 163,465/x
  3. Step 3: Cross multiply
    103,037x = 163,465 × 163,465
  4. Step 4: Simplify right side
    103,037x = 26,720,806,225
  5. Step 5: Solve for x
    x = 26,720,806,225/103,037
  6. Step 6: Final answer
    x = 259,332.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.