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Finding the Third Proportional to 46,948 and 70,180

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Solution

The third proportional to 46,948 and 70,180 is: 104,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948 : 70,180 = 70,180 : x
  2. Step 2: Convert to fraction form
    46,948/70,180 = 70,180/x
  3. Step 3: Cross multiply
    46,948x = 70,180 × 70,180
  4. Step 4: Simplify right side
    46,948x = 4,925,232,400
  5. Step 5: Solve for x
    x = 4,925,232,400/46,948
  6. Step 6: Final answer
    x = 104,908.25

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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.