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Finding the Third Proportional to 78,490 and 117,557

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Solution

The third proportional to 78,490 and 117,557 is: 176,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490 : 117,557 = 117,557 : x
  2. Step 2: Convert to fraction form
    78,490/117,557 = 117,557/x
  3. Step 3: Cross multiply
    78,490x = 117,557 × 117,557
  4. Step 4: Simplify right side
    78,490x = 13,819,648,249
  5. Step 5: Solve for x
    x = 13,819,648,249/78,490
  6. Step 6: Final answer
    x = 176,068.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.