Finding the Third Proportional to 61,970 and 83,523
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Solution
The third proportional to 61,970 and 83,523 is: 112,572.08
Step by Step Solution
- Step 1: Write the proportion equation
61,970 : 83,523 = 83,523 : x - Step 2: Convert to fraction form
61,970/83,523 = 83,523/x - Step 3: Cross multiply
61,970x = 83,523 × 83,523 - Step 4: Simplify right side
61,970x = 6,976,091,529 - Step 5: Solve for x
x = 6,976,091,529/61,970 - Step 6: Final answer
x = 112,572.08
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.