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Finding the Third Proportional to 53,365 and 124,664.50

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Solution

The third proportional to 53,365 and 124,664.50 is: 291,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,365 : 124,664.50 = 124,664.50 : x
  2. Step 2: Convert to fraction form
    53,365/124,664.50 = 124,664.50/x
  3. Step 3: Cross multiply
    53,365x = 124,664.50 × 124,664.50
  4. Step 4: Simplify right side
    53,365x = 15,541,237,560.25
  5. Step 5: Solve for x
    x = 15,541,237,560.25/53,365
  6. Step 6: Final answer
    x = 291,225.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.