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Finding the Third Proportional to 53,095.50 and 91,975.50

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Solution

The third proportional to 53,095.50 and 91,975.50 is: 159,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.50 : 91,975.50 = 91,975.50 : x
  2. Step 2: Convert to fraction form
    53,095.50/91,975.50 = 91,975.50/x
  3. Step 3: Cross multiply
    53,095.50x = 91,975.50 × 91,975.50
  4. Step 4: Simplify right side
    53,095.50x = 8,459,492,600.25
  5. Step 5: Solve for x
    x = 8,459,492,600.25/53,095.50
  6. Step 6: Final answer
    x = 159,325.98

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.