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Finding the Third Proportional to 53,985 and 111,428

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Solution

The third proportional to 53,985 and 111,428 is: 229,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,985 : 111,428 = 111,428 : x
  2. Step 2: Convert to fraction form
    53,985/111,428 = 111,428/x
  3. Step 3: Cross multiply
    53,985x = 111,428 × 111,428
  4. Step 4: Simplify right side
    53,985x = 12,416,199,184
  5. Step 5: Solve for x
    x = 12,416,199,184/53,985
  6. Step 6: Final answer
    x = 229,993.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.