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Finding the Third Proportional to 124,724 and 168,557

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Solution

The third proportional to 124,724 and 168,557 is: 227,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,724 : 168,557 = 168,557 : x
  2. Step 2: Convert to fraction form
    124,724/168,557 = 168,557/x
  3. Step 3: Cross multiply
    124,724x = 168,557 × 168,557
  4. Step 4: Simplify right side
    124,724x = 28,411,462,249
  5. Step 5: Solve for x
    x = 28,411,462,249/124,724
  6. Step 6: Final answer
    x = 227,794.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.