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Finding the Third Proportional to 46,618 and 74,140

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Solution

The third proportional to 46,618 and 74,140 is: 117,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,618 : 74,140 = 74,140 : x
  2. Step 2: Convert to fraction form
    46,618/74,140 = 74,140/x
  3. Step 3: Cross multiply
    46,618x = 74,140 × 74,140
  4. Step 4: Simplify right side
    46,618x = 5,496,739,600
  5. Step 5: Solve for x
    x = 5,496,739,600/46,618
  6. Step 6: Final answer
    x = 117,910.24

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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.