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Finding the Third Proportional to 52,695.50 and 77,070.50

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Solution

The third proportional to 52,695.50 and 77,070.50 is: 112,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,695.50 : 77,070.50 = 77,070.50 : x
  2. Step 2: Convert to fraction form
    52,695.50/77,070.50 = 77,070.50/x
  3. Step 3: Cross multiply
    52,695.50x = 77,070.50 × 77,070.50
  4. Step 4: Simplify right side
    52,695.50x = 5,939,861,970.25
  5. Step 5: Solve for x
    x = 5,939,861,970.25/52,695.50
  6. Step 6: Final answer
    x = 112,720.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.