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Finding the Third Proportional to 52,272 and 78,526.13

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Solution

The third proportional to 52,272 and 78,526.13 is: 117,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,272 : 78,526.13 = 78,526.13 : x
  2. Step 2: Convert to fraction form
    52,272/78,526.13 = 78,526.13/x
  3. Step 3: Cross multiply
    52,272x = 78,526.13 × 78,526.13
  4. Step 4: Simplify right side
    52,272x = 6,166,352,307.52
  5. Step 5: Solve for x
    x = 6,166,352,307.52/52,272
  6. Step 6: Final answer
    x = 117,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.