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Finding the Third Proportional to 61,820 and 93,020

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Solution

The third proportional to 61,820 and 93,020 is: 139,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,820 : 93,020 = 93,020 : x
  2. Step 2: Convert to fraction form
    61,820/93,020 = 93,020/x
  3. Step 3: Cross multiply
    61,820x = 93,020 × 93,020
  4. Step 4: Simplify right side
    61,820x = 8,652,720,400
  5. Step 5: Solve for x
    x = 8,652,720,400/61,820
  6. Step 6: Final answer
    x = 139,966.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.