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Finding the Third Proportional to 46,140 and 70,533

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Solution

The third proportional to 46,140 and 70,533 is: 107,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140 : 70,533 = 70,533 : x
  2. Step 2: Convert to fraction form
    46,140/70,533 = 70,533/x
  3. Step 3: Cross multiply
    46,140x = 70,533 × 70,533
  4. Step 4: Simplify right side
    46,140x = 4,974,904,089
  5. Step 5: Solve for x
    x = 4,974,904,089/46,140
  6. Step 6: Final answer
    x = 107,821.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.