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Finding the Third Proportional to 124,534 and 257,929.50

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Solution

The third proportional to 124,534 and 257,929.50 is: 534,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534 : 257,929.50 = 257,929.50 : x
  2. Step 2: Convert to fraction form
    124,534/257,929.50 = 257,929.50/x
  3. Step 3: Cross multiply
    124,534x = 257,929.50 × 257,929.50
  4. Step 4: Simplify right side
    124,534x = 66,527,626,970.25
  5. Step 5: Solve for x
    x = 66,527,626,970.25/124,534
  6. Step 6: Final answer
    x = 534,212.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.