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Finding the Third Proportional to 53,004 and 113,362.50

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Solution

The third proportional to 53,004 and 113,362.50 is: 242,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004 : 113,362.50 = 113,362.50 : x
  2. Step 2: Convert to fraction form
    53,004/113,362.50 = 113,362.50/x
  3. Step 3: Cross multiply
    53,004x = 113,362.50 × 113,362.50
  4. Step 4: Simplify right side
    53,004x = 12,851,056,406.25
  5. Step 5: Solve for x
    x = 12,851,056,406.25/53,004
  6. Step 6: Final answer
    x = 242,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.