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Finding the Third Proportional to 59,020 and 89,024

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Solution

The third proportional to 59,020 and 89,024 is: 134,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,020 : 89,024 = 89,024 : x
  2. Step 2: Convert to fraction form
    59,020/89,024 = 89,024/x
  3. Step 3: Cross multiply
    59,020x = 89,024 × 89,024
  4. Step 4: Simplify right side
    59,020x = 7,925,272,576
  5. Step 5: Solve for x
    x = 7,925,272,576/59,020
  6. Step 6: Final answer
    x = 134,281.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.