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Finding the Third Proportional to 46,271 and 99,557

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Solution

The third proportional to 46,271 and 99,557 is: 214,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,271 : 99,557 = 99,557 : x
  2. Step 2: Convert to fraction form
    46,271/99,557 = 99,557/x
  3. Step 3: Cross multiply
    46,271x = 99,557 × 99,557
  4. Step 4: Simplify right side
    46,271x = 9,911,596,249
  5. Step 5: Solve for x
    x = 9,911,596,249/46,271
  6. Step 6: Final answer
    x = 214,207.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.