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Finding the Third Proportional to 90,490 and 133,033

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Solution

The third proportional to 90,490 and 133,033 is: 195,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,490 : 133,033 = 133,033 : x
  2. Step 2: Convert to fraction form
    90,490/133,033 = 133,033/x
  3. Step 3: Cross multiply
    90,490x = 133,033 × 133,033
  4. Step 4: Simplify right side
    90,490x = 17,697,779,089
  5. Step 5: Solve for x
    x = 17,697,779,089/90,490
  6. Step 6: Final answer
    x = 195,577.18

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Why These Related Problems?

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