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Finding the Third Proportional to 45,506 and 98,411

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Solution

The third proportional to 45,506 and 98,411 is: 212,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,506 : 98,411 = 98,411 : x
  2. Step 2: Convert to fraction form
    45,506/98,411 = 98,411/x
  3. Step 3: Cross multiply
    45,506x = 98,411 × 98,411
  4. Step 4: Simplify right side
    45,506x = 9,684,724,921
  5. Step 5: Solve for x
    x = 9,684,724,921/45,506
  6. Step 6: Final answer
    x = 212,823.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.