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Finding the Third Proportional to 46,480 and 70,156

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Solution

The third proportional to 46,480 and 70,156 is: 105,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480 : 70,156 = 70,156 : x
  2. Step 2: Convert to fraction form
    46,480/70,156 = 70,156/x
  3. Step 3: Cross multiply
    46,480x = 70,156 × 70,156
  4. Step 4: Simplify right side
    46,480x = 4,921,864,336
  5. Step 5: Solve for x
    x = 4,921,864,336/46,480
  6. Step 6: Final answer
    x = 105,892.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.