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Finding the Third Proportional to 46,053 and 98,639

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Solution

The third proportional to 46,053 and 98,639 is: 211,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053 : 98,639 = 98,639 : x
  2. Step 2: Convert to fraction form
    46,053/98,639 = 98,639/x
  3. Step 3: Cross multiply
    46,053x = 98,639 × 98,639
  4. Step 4: Simplify right side
    46,053x = 9,729,652,321
  5. Step 5: Solve for x
    x = 9,729,652,321/46,053
  6. Step 6: Final answer
    x = 211,270.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.