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Finding the Third Proportional to 97,520 and 145,640

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Solution

The third proportional to 97,520 and 145,640 is: 217,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,520 : 145,640 = 145,640 : x
  2. Step 2: Convert to fraction form
    97,520/145,640 = 145,640/x
  3. Step 3: Cross multiply
    97,520x = 145,640 × 145,640
  4. Step 4: Simplify right side
    97,520x = 21,211,009,600
  5. Step 5: Solve for x
    x = 21,211,009,600/97,520
  6. Step 6: Final answer
    x = 217,504.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.