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Finding the Third Proportional to 61,319 and 94,490

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Solution

The third proportional to 61,319 and 94,490 is: 145,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,319 : 94,490 = 94,490 : x
  2. Step 2: Convert to fraction form
    61,319/94,490 = 94,490/x
  3. Step 3: Cross multiply
    61,319x = 94,490 × 94,490
  4. Step 4: Simplify right side
    61,319x = 8,928,360,100
  5. Step 5: Solve for x
    x = 8,928,360,100/61,319
  6. Step 6: Final answer
    x = 145,605.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.