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Finding the Third Proportional to 124,639 and 174,889.50

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Solution

The third proportional to 124,639 and 174,889.50 is: 245,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,639 : 174,889.50 = 174,889.50 : x
  2. Step 2: Convert to fraction form
    124,639/174,889.50 = 174,889.50/x
  3. Step 3: Cross multiply
    124,639x = 174,889.50 × 174,889.50
  4. Step 4: Simplify right side
    124,639x = 30,586,337,210.25
  5. Step 5: Solve for x
    x = 30,586,337,210.25/124,639
  6. Step 6: Final answer
    x = 245,399.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.