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Finding the Third Proportional to 70,968.50 and 154,537

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Solution

The third proportional to 70,968.50 and 154,537 is: 336,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968.50 : 154,537 = 154,537 : x
  2. Step 2: Convert to fraction form
    70,968.50/154,537 = 154,537/x
  3. Step 3: Cross multiply
    70,968.50x = 154,537 × 154,537
  4. Step 4: Simplify right side
    70,968.50x = 23,881,684,369
  5. Step 5: Solve for x
    x = 23,881,684,369/70,968.50
  6. Step 6: Final answer
    x = 336,511.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.