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Finding the Third Proportional to 53,501 and 115,300

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Solution

The third proportional to 53,501 and 115,300 is: 248,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,501 : 115,300 = 115,300 : x
  2. Step 2: Convert to fraction form
    53,501/115,300 = 115,300/x
  3. Step 3: Cross multiply
    53,501x = 115,300 × 115,300
  4. Step 4: Simplify right side
    53,501x = 13,294,090,000
  5. Step 5: Solve for x
    x = 13,294,090,000/53,501
  6. Step 6: Final answer
    x = 248,483.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.