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Finding the Third Proportional to 46,111 and 71,213

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Solution

The third proportional to 46,111 and 71,213 is: 109,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,111 : 71,213 = 71,213 : x
  2. Step 2: Convert to fraction form
    46,111/71,213 = 71,213/x
  3. Step 3: Cross multiply
    46,111x = 71,213 × 71,213
  4. Step 4: Simplify right side
    46,111x = 5,071,291,369
  5. Step 5: Solve for x
    x = 5,071,291,369/46,111
  6. Step 6: Final answer
    x = 109,980.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.