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Finding the Third Proportional to 59,640 and 87,670.50

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Solution

The third proportional to 59,640 and 87,670.50 is: 128,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,640 : 87,670.50 = 87,670.50 : x
  2. Step 2: Convert to fraction form
    59,640/87,670.50 = 87,670.50/x
  3. Step 3: Cross multiply
    59,640x = 87,670.50 × 87,670.50
  4. Step 4: Simplify right side
    59,640x = 7,686,116,570.25
  5. Step 5: Solve for x
    x = 7,686,116,570.25/59,640
  6. Step 6: Final answer
    x = 128,875.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.