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Finding the Third Proportional to 103,905 and 148,590

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Solution

The third proportional to 103,905 and 148,590 is: 212,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 148,590 = 148,590 : x
  2. Step 2: Convert to fraction form
    103,905/148,590 = 148,590/x
  3. Step 3: Cross multiply
    103,905x = 148,590 × 148,590
  4. Step 4: Simplify right side
    103,905x = 22,078,988,100
  5. Step 5: Solve for x
    x = 22,078,988,100/103,905
  6. Step 6: Final answer
    x = 212,492.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.