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Finding the Third Proportional to 53,070 and 114,444

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Solution

The third proportional to 53,070 and 114,444 is: 246,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,070 : 114,444 = 114,444 : x
  2. Step 2: Convert to fraction form
    53,070/114,444 = 114,444/x
  3. Step 3: Cross multiply
    53,070x = 114,444 × 114,444
  4. Step 4: Simplify right side
    53,070x = 13,097,429,136
  5. Step 5: Solve for x
    x = 13,097,429,136/53,070
  6. Step 6: Final answer
    x = 246,795.35

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Why These Related Problems?

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