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Finding the Third Proportional to 43,490 and 93,415

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Solution

The third proportional to 43,490 and 93,415 is: 200,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490 : 93,415 = 93,415 : x
  2. Step 2: Convert to fraction form
    43,490/93,415 = 93,415/x
  3. Step 3: Cross multiply
    43,490x = 93,415 × 93,415
  4. Step 4: Simplify right side
    43,490x = 8,726,362,225
  5. Step 5: Solve for x
    x = 8,726,362,225/43,490
  6. Step 6: Final answer
    x = 200,652.16

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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.