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Finding the Third Proportional to 53,032.50 and 114,368.63

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Solution

The third proportional to 53,032.50 and 114,368.63 is: 246,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032.50 : 114,368.63 = 114,368.63 : x
  2. Step 2: Convert to fraction form
    53,032.50/114,368.63 = 114,368.63/x
  3. Step 3: Cross multiply
    53,032.50x = 114,368.63 × 114,368.63
  4. Step 4: Simplify right side
    53,032.50x = 13,080,182,384.39
  5. Step 5: Solve for x
    x = 13,080,182,384.39/53,032.50
  6. Step 6: Final answer
    x = 246,644.65

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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.