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Finding the Third Proportional to 70,490 and 103,786

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Solution

The third proportional to 70,490 and 103,786 is: 152,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490 : 103,786 = 103,786 : x
  2. Step 2: Convert to fraction form
    70,490/103,786 = 103,786/x
  3. Step 3: Cross multiply
    70,490x = 103,786 × 103,786
  4. Step 4: Simplify right side
    70,490x = 10,771,533,796
  5. Step 5: Solve for x
    x = 10,771,533,796/70,490
  6. Step 6: Final answer
    x = 152,809.39

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