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Finding the Third Proportional to 46,810 and 110,501

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Solution

The third proportional to 46,810 and 110,501 is: 260,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,810 : 110,501 = 110,501 : x
  2. Step 2: Convert to fraction form
    46,810/110,501 = 110,501/x
  3. Step 3: Cross multiply
    46,810x = 110,501 × 110,501
  4. Step 4: Simplify right side
    46,810x = 12,210,471,001
  5. Step 5: Solve for x
    x = 12,210,471,001/46,810
  6. Step 6: Final answer
    x = 260,851.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.