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Finding the Third Proportional to 103,228 and 145,362

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Solution

The third proportional to 103,228 and 145,362 is: 204,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,228 : 145,362 = 145,362 : x
  2. Step 2: Convert to fraction form
    103,228/145,362 = 145,362/x
  3. Step 3: Cross multiply
    103,228x = 145,362 × 145,362
  4. Step 4: Simplify right side
    103,228x = 21,130,111,044
  5. Step 5: Solve for x
    x = 21,130,111,044/103,228
  6. Step 6: Final answer
    x = 204,693.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.