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Finding the Third Proportional to 58,907.50 and 91,010

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Solution

The third proportional to 58,907.50 and 91,010 is: 140,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,907.50 : 91,010 = 91,010 : x
  2. Step 2: Convert to fraction form
    58,907.50/91,010 = 91,010/x
  3. Step 3: Cross multiply
    58,907.50x = 91,010 × 91,010
  4. Step 4: Simplify right side
    58,907.50x = 8,282,820,100
  5. Step 5: Solve for x
    x = 8,282,820,100/58,907.50
  6. Step 6: Final answer
    x = 140,607.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.