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Finding the Third Proportional to 46,053 and 101,787

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Solution

The third proportional to 46,053 and 101,787 is: 224,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053 : 101,787 = 101,787 : x
  2. Step 2: Convert to fraction form
    46,053/101,787 = 101,787/x
  3. Step 3: Cross multiply
    46,053x = 101,787 × 101,787
  4. Step 4: Simplify right side
    46,053x = 10,360,593,369
  5. Step 5: Solve for x
    x = 10,360,593,369/46,053
  6. Step 6: Final answer
    x = 224,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.